The sum of three positive integers is 42. The smallest integer is five less than the middle integer. The middle integer is three less than half the greatest integer. Define a variable, write an equation and solve to find the three integers.

Guest Sep 1, 2020

#1**+2 **

Form an equation, but with what? You'll need variables, so make them! (Here is a lovely recipe for variables)

Let:

s = smallest number

m = middle number

l = largest number

But...you can't just add that!

Let's write everything in terms of "m".

**s = m - 5**

**m = m**

**l = 2m + 3**

Now...we add!

m - 5 + m + 2m + 3 = 42

4m - 2 = 42

4m = 44

m = **11**

Now, we plug m back into the original variables:

s = 11 - 5 = **6**

l = 2(11) + 3 = **25**

**So, the 3 numbers are [6, 11, 25]**

Did you actually press on the link? No recipe? Just a definition? Sorry...have some cookies! (They are up at the top shelf of my pantry...they taste nice, but not as good as Ginger's banana daiquiri! I managed to sneak a sip...hope she doesn't realize!)

:)

ilorty Sep 1, 2020